Prime p₀= 3281844363274046231 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 58 2 40 2 10 2 16 2 (?)
a_n: 0 2 60 62 96 98 156 158 198 200 210 212 228 230
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 230
Found by: [SG-2W]Kurzer
db: batch=83, k=14, 58 34 58 40 10 16

STPT(10)	3281842454830915439	0 2 48 50 60 62 72 74 120 122	-1908443130792
TPT(14)	3281843626468956851	0 2 30 32 78 80 126 128 318 320 360 362 408 410	-736805089380
SPT(16)	3281843827578253079	0 2 20 42 98 108 132 140 192 200 224 234 290 312 330 332	-535695793152
STPT(10)	3281843957414589701	0 2 36 38 78 80 120 122 156 158	-405859456530
SPT(16)	3281844034930770761	0 48 110 126 212 228 240 270 308 338 350 366 452 468 530 578	-328343275470
SPT(16)	3281844239326056307	0 40 60 66 72 82 102 144 232 274 294 304 310 316 336 376	-123947989924
SPT(16)	3281844366741889357	0 22 40 84 90 94 120 132 142 154 180 184 190 234 252 274	3467843126
STPT(10)	3281844409258231541	0 2 6 8 48 50 90 92 96 98	45984185310
SPT(16)	3281844611795636599	0 4 30 40 48 114 118 154 198 234 238 304 312 322 348 352	248521590368
STPT(10)	3281844837799209467	0 2 30 32 60 62 90 92 120 122	474525163236
SPT(16)	3281846941094686001	0 8 60 78 86 120 156 200 228 272 308 342 350 368 420 428	2577820639770